affine differential geometry

英語（米国） (en-US) 英語（イギリス） (en-GB)

名詞

不可算名詞

(differential geometry) A type of differential geometry in which the differential invariants studied are invariant under volume-preserving affine transformations.

日本語の意味

体積保存的なアフィン変換の下で不変となる微分不変量を対象とする微分幾何学の一分野

英語の意味

(differential geometry) A type of differential geometry in which the differential invariants studied are invariant under volume-preserving affine transformations.

このボタンはなに？

Researchers in affine differential geometry are developing new invariants that remain unchanged under volume-preserving affine transformations.

アフィン微分幾何学の研究者たちは、体積保存アフィン変換の下で不変に保たれる新しい不変量を開発しています。

詳細

意味（1）

(differential geometry) A type of differential geometry in which the differential invariants studied are invariant under volume-preserving affine transformations.

The basic difference between Riemannian and affine differential geometry is that in the affine case we introduce volume forms over a manifold instead of metrics.

詳細